309600000000 has 648 divisors, whose sum is σ = 1143720117540. Its totient is φ = 80640000000.

The previous prime is 309599999999. The next prime is 309600000007. The reversal of 309600000000 is 6903.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309600000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7199999979 + ... + 7200000021.

Almost surely, 2^309600000000 is an apocalyptic number.

309600000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571860058770).

309600000000 is an abundant number, since it is smaller than the sum of its proper divisors (834120117540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

309600000000 is an frugal number, since it uses more digits than its factorization.

309600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 309600000000 its reverse (6903), we get a palindrome (309600006903).

The spelling of 309600000000 in words is "three hundred nine billion, six hundred million", and thus it is an aban number.